METODE BLACK-SCHOLES DALAM PENENTUAN HARGA OPSI

Ahmad Taufik, Mochammad Idris, Aprida Siska Lestia

Abstract


The Black-Scholes Method is one of the option pricing method that introduced by Fischer Black and Myron Scholes in 1973. This study aim to review the determination of the price of an option with stocks as the underlying assets and based on  Black and Scholes assumptions. These assumptions lead to construct an equation named Black-Scholes differential equations, which is the equation that must be satisfied for option as the derivative instrument and non-dividend giving stocks as the underlying assets. After the Black-Scholes differential equations formed successfully, the next step is to find the solution of that equation. Consider the option is call option, the solution that will be obtained from solving the equation is the price of call option. Then substitute it to the put-call parity equation, which is the equation that shows the relationship between call and put option prices, so the price of put option can be obtained too. The estimation that obtained from the Black-Scholes method is the highest price for a contract is said to be fair and worth to buy for the holder.


Keywords


options, derivative instrument, Black-Scholes differential equations

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References


Beerends, R. J., ter Morsche, H. G., van den Berg J C, & van de Vrie E M. (2003). Fourier and Laplace Transforms. Cambridge University Press.

Black, F., & Scholes, M. (1973). The Pricing of Options and Corporate Liabilities. The Journal of Political Economy. Vol. 81(3), 637–654.

Brown, J. Ward., & Churchill, R. V. (2009). Complex Variables and Applications. McGraw-Hill Higher Education.

Chance, D. M., & Brooks, R. (2021). Introduction to Derivatives and Risk Management. Cengage Learning.

Chauhan, A., & Gor, R. (2021). Black-Scholes Option Pricing Model and Its Relevancy in Indian Options Market: A Review. IOSR Journal of Economics and Finance. Vol. 12, 1–07.

Chowdhury, R., Mahdy, M. R. C., Alam, T. N., Dastegir, G., & Quaderi, A. (2020). Predicting the Stock Price of Frontier Markets Using Modified Black-Scholes Option Pricing Model and Machine Learning. Physica A: Statistical Mathematics an its Applications. Vol. 555.

Devore, J. L., & Berk, K. N. (2012). Modern Mathematical Statistics with Applications (2nd ed.).

Felisiah, E., & Yanti Natalia, E. (2022). Analisis Pengetahuan Investasi, Return Investasi dan Motivasi Investasi Terhadap Minat Investasi Mahasiswa Akuntansi Kota Batam. Transekonomika. Vol. 2(1), 29–44.

Hull, J C. (2012). Options, Futures, and Other Derivatives (8th ed.). Prentice Hall.

Mardiyanti, E. (2023). Matematika dan Kecerdasan Finansial: Memahami Matematika Sebelum Berwirausaha. JPPN: Jurnal Penyuluhan dan Pemberdayaan Masyarakat. Vol. 2(2), 1–10.

Morales-Bañuelos, P., Muriel, N., & Fernández-Anaya, G. (2022). A Modified Black-Scholes-Merton Model for Option Pricing. Mathematics. Vol 10(9).

Puspa Permata, C., & Ghoni, M. A. (2019). Peranan Pasar Modal dalam Perekonomian Negara Indonesia. Jurnal AkunStie (JAS). Vol. 5(2).

Ross, S. L. (2004). Differential Equations (3rd ed.). John Wiley & Sons, Inc.

Sinaga, M. H., Tarigan, W. J., & Saragih, M. (2022). Pengukuran Kinerja Portofolio Investasi dengan Menggunakan Indeks Sharpe pada Emiten Sektor Transportasi dan Logistik yang Terdaftar Di Bursa Efek Indonesia Sebelum Dan Selama Masa Pandemic Covid - 19. Owner: Riset & Jurnal Akuntans. Vol. 6(4), 3541–3552.

Suriyanti, & Hamzah, F. F. (2024). Teori Portofolio dan Analisis Investasi. Eureka Media Utama.

Susanti, D., & Devianto, D. (2014). Penurunan Model Black-Scholes dengan Persamaan Diferensial Stokastik untuk Opsi Tipe Eropa. Jurnal Matematika UNAND. Vol. 3(1), 17–26.




DOI: https://doi.org/10.20527/epsilon.v18i1.12604

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